The equation given is:

$y = 2x - 3$

We are asked to find the value of $y$ when $x = -4$.

Substitute $x = -4$ into the equation:

$y = 2(-4) - 3$

Simplify:

$y = -8 - 3 = -11$

Thus, the value of $y$ when $x = -4$ is:

$y = -11$

Do you need more details on this solution or have any questions?

Here are 5 related questions to expand your understanding:

1. What is the slope of the line represented by $y = 2x - 3$?
2. How do you find the x-intercept of the equation $y = 2x - 3$?
3. What is the y-intercept of the equation $y = 2x - 3$?
4. How would the equation change if the slope were halved?
5. If $y = 2x - 3$, at what value of $x$ does $y = 0$?

Tip: When solving linear equations, always start by substituting the known values and simplifying step by step.